What is the 1688th prime number?
The 1688th prime number is 14407. The next prime is 14411 (a gap of 4) and the one before is 14401.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1688th one is 14407.
- 2
14407 is prime because no prime up to ā14407 ā 120.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1688th prime is close to 1688 Ć ln(1688) ā 12544, and here it is 14407.
- 4
14407 has no twin: neither 14405 nor 14409 is prime.
Primes around the 1688th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1685 | 14387 | 18 |
| 1686 | 14389 | 2 |
| 1687 | 14401 | 12 |
| 1688 | 14407 | 6 |
| 1689 | 14411 | 4 |
| 1690 | 14419 | 8 |
| 1691 | 14423 | 4 |
Questions
What is the 1688th prime number?
14407.
Which prime number is 14407?
14407 is the 1688th prime number.
What is the sum of the first 1688 primes?
11,326,021.